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marin [14]
2 years ago
6

A wise old owl climbed up a tree whose height was exactly ninety plus three. Every day the owl climbed up 18 and every night cli

mbed down 15. On what day did the owl reach the top of the tree?
Mathematics
1 answer:
xenn [34]2 years ago
6 0

Answer:

He reached the top of the tree on the 31st day

Step-by-step explanation:

The total distance for the owl to climb is 93 units.

If the owl climbed 18 units up the tree every day without coming down, the owl would have taken 93/18 days to reach the top of the tree.

However, the owl descends by 15 units every night. This just reduces the overall distance covered at the end of each day's climb.

The net distance covered by the owl after each day is 18-15 units = 3 units of climb. This is the steady distance the owl gains up the three at the end of each day after the ascent and descent.

The time taken for the climb moving at this pace of 3 units per day will be

93 units / 3 units per day = 31 days

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Answer:

Option B.

Step-by-step explanation:

It is given that ΔSRQ is a right angle triangle, ∠SRQ is right angle.

RT is altitude on side SQ, ST=9, TQ=16 and SR=x.

In ΔSRQ and ΔSTR,

m\angle S=m\angle S           (Reflexive property)

m\angle R=m\angle T           (Right angle)

By AA property of similarity,

\triangle SRQ\sim \triangle STR

Corresponding parts of similar triangles are proportional.

\dfrac{SR}{SQ}=\dfrac{ST}{SR}

Substitute the given values.

\dfrac{x}{9+16}=\dfrac{9}{x}

\dfrac{x}{25}=\dfrac{9}{x}

On cross multiplication we get

x^2=25\times 9

x^2=225

Taking square root on both sides.

x=\sqrt{225}

x=15

The value of x is 15. Therefore, the correct option is B.

7 0
2 years ago
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B. 0.478

Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

Given:

- The complete data is given in the figure (attached):

Solution:

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                                   s = 2*(16)*( 120 / 180 ) * π  

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Type the correct answer in the box. Round your answer to two decimal places.
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39.3701 inches in a meter

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Answer:

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Step-by-step explanation:

Hope it is helpful...

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